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Finding the Fourth Proportional to 12,479.36, 18,712.74 and 4,156.40

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Solution

The fourth proportional to 12,479.36, 18,712.74 and 4,156.40 is: 6,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,479.36 : 18,712.74 = 4,156.40 : x
  2. Step 2: Convert to fraction form
    12,479.36/18,712.74 = 4,156.40/x
  3. Step 3: Cross multiply
    12,479.36x = 18,712.74 × 4,156.40
  4. Step 4: Simplify right side
    12,479.36x = 77,777,538.97
  5. Step 5: Solve for x
    x = 77,777,538.97/12,479.36
  6. Step 6: Final answer
    x = 6,232.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.